Illustrative Mathematics
Illustrative Mathematics: G Mg Ice Cream Cone
You have been hired by the owner of a local ice cream parlor to assist in his company's new venture. The company will soon sell its ice cream cones in the freezer section of local grocery stores. The manufacturing process requires that...
CPALMS
Cpalms: Building Graduation Caps
[Free Registration/Login Required] For this lesson, learners build geometric models of graduation caps using stiff paper. The activity requires the application of skills in finding surface area, understanding similarity, knowing the...
Illustrative Mathematics
Illustrative Mathematics: G Mg Toilet Roll
Picture a roll of toilet paper; assume that the paper in the roll is very tightly rolled. Assuming that the paper in the roll is very thin, find a relationship between the thickness of the paper, the inner and outer radii of the roll,...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Cells Are in the Human Body?
About how many cells are in the human body? The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. Aligns with G-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Better Lesson
Better Lesson: Mars Habitat
In this lesson, students are asked to examine a model for a space station on Mars that will house six researchers studying the possibility of establishing a colony. Given the dimensions of the station and the minimum amount of space...
CPALMS
Cpalms: Mudslide
[Free Registration/Login Required] This is a formative assessment task where students are asked to first make a mathematical model of a mudslide given the dimensions of the area it covers. They then use an estimate of density to...
CPALMS
Cpalms: Population of Utah
[Free Registration/Login Required] This is a formative assessment task where students are asked to estimate the population of Utah based on information given about its population density and the perimeter of its state boundaries. Samples...
CPALMS
Cpalms: How Many Trees?
[Free Registration/Login Required] In this formative assessment task, students are asked to find the density and the estimated number of trees in a forest, given certain parameters. Samples of student responses and possible...
National Council of Teachers of Mathematics
Nctm: Illuminations: Creating, Describing, and Analyzing Patterns
Encourage students to use visualization, spatial reasoning, and geometric modeling to build their own patterns or recreate one from given square arrays.